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Numerical simulations of 2D potential flows in general relativity. (English) Zbl 0857.76048
Summary: Numerical solutions via the local characteristic approach have been obtained for the general-relativistic potential flow passing over a hard sphere and a black hole. These solutions have been used as a test of a two-dimensional code which extends some high-resolution shock-capturing methods, designed recently to solve nonlinear hyperbolic systems or conservation laws, to find the numerical solution of a wave equation in a multidimensional curved space-time.
76M20 Finite difference methods applied to problems in fluid mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
85-08 Computational methods for problems pertaining to astronomy and astrophysics
83-08 Computational methods for problems pertaining to relativity and gravitational theory
Full Text: DOI
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